Question

The University of Washington Huskies tried throwing one of the longest Hail Marys in history—about 73 yards! For this pass, the ball's height over time was modeled by the function h(t) = -16t2 + 64t + 6, where was the height in feet and was the time in seconds. a) How long does it take for the football to reach its maximum height? b) What is its maximum height? c) How long will the football be in the air? It takes a good college football player about 8 seconds to run 73 yards. If the quarterback waited 4 seconds after the snap, does the receiver have a chance of catching the ball?

Answer 1

Answer:

• See below

Step-by-step explanation:

Given function:

• h(t) = -16t² + 64t + 6

a)

The maximum height is the vertex. The x-coordinate of the vertex is -b/2a:

• t = - 64/2*(-16) = 2

It takes 2 seconds

b)

Maximum height is at vertex:

• h(2) = -16(2²)  + 64(2) + 6 = 70 yd

c)

The ball is in the air between zero's of the equation or approximately double the time it reaches the vertex:

• 2*2 = 4 seconds

The receiver doesn't have a chance to catch the ball, since the ball is only 4 seconds in the air.